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Finding the Fourth Proportional to 717.82, 1,077.24 and 285.07

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Solution

The fourth proportional to 717.82, 1,077.24 and 285.07 is: 427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 1,077.24 = 285.07 : x
  2. Step 2: Convert to fraction form
    717.82/1,077.24 = 285.07/x
  3. Step 3: Cross multiply
    717.82x = 1,077.24 × 285.07
  4. Step 4: Simplify right side
    717.82x = 307,088.81
  5. Step 5: Solve for x
    x = 307,088.81/717.82
  6. Step 6: Final answer
    x = 427.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.